Perpendicular Lines - Examples, Exercises and Solutions

Let's remember that parallel lines are lines that, if extended, will never intersect.

In diagrams a'+b'+c', all the lines intersect with each other at a certain point, except for diagram d'.

The lines drawn in answer d' will never intersect.

Let's remember that perpendicular lines are lines that intersect at a 90-degree angle.

To examine the types of angles that lines create with each other, let's draw a T at the intersection point of the lines as follows:

Notice that from the drawings, in answers 1+2 a right angle is formed, meaning the lines in these drawings are perpendicular.

Let's remember the different properties of lines.

The lines are not parallel since they intersect.

The lines are not perpendicular since they do not form a right angle of 90 degrees between them.

Therefore, no answer is correct.

Let's think about the different definitions of various lines.

We can see that what is common to all lines is that they intersect with each other, meaning they have a point of intersection.

We'll remember that lines that cross each other are lines that will meet at a certain point.

Therefore, the correct answer is a.

Upon observation we can see that all the lines form a right angle of 90 degrees with each other.

Lines that form a right angle of 90 degrees with each other are perpendicular and vertical lines.

Therefore, the correct answer is a.

Upon observation we can see that all the lines intersect forming a right angle of 90 degrees.

Intersecting lines that form a right angle of 90 degrees are perpendicular and vertical lines.

Therefore, the correct answer is a.

Remember that perpendicular lines form a 90-degree angle between them.

Parallel lines are lines that never intersect and do not form any angle between them.

To be able to examine the lines, a line will be drawn at each end of the line, as follows:

We notice that from the drawings it seems that all the lines do not form any angle between them, this is because they do not meet each other.

Therefore, all figures show parallel lines.

Let's remember that perpendicular lines are lines that form a 90-degree angle with each other.

Parallel lines are lines that will never intersect and do not form any angle between them.

In order to examine the types of angles that lines form with each other, we will draw a T at the intersection point of the lines in the following way:

Note that from the drawings we can see that what they all have in common is the right angle, which means that all the lines are perpendicular.

Perpendicular lines are lines that form a right angle between them.

In the drawings A+C+D, you can see that the angles formed are not right angles.

It is possible to point out a right angle in drawing B.

Lines that intersect each other are lines that divide the side into two equal parts.

The drawings showing that the lines divide the sides into equal parts are drawings 1+3.

In drawing 2, the lines are perpendicular and vertical to each other, and in drawing 4, the lines are parallel to each other.

Let's remember that perpendicular lines are lines that form an angle of 90 degrees between them.

In each of the answers, we will draw the letter T at the point of intersection of the lines.

Let's examine figure A:

We notice that the lines do form a right angle and the lines are perpendicular to each other.

Let's examine figure B:

We notice that the lines do not meet and do not form any angle; therefore, they are parallel lines and not perpendicular.

Let's remember that perpendicular lines are lines that form a right angle of 90 degrees between them.

The only drawing where it can be seen that the lines form a right angle of 90 degrees between them is drawing A.

Perpendicular lines are lines that form a right angle of 90 degrees between them.

The only drawing where the lines form a right angle of 90 degrees between them is drawing A.

Let's remember that perpendicular lines form a 90-degree angle with each other.

To check if the lines form a 90-degree angle, we will draw a T at each intersection as follows:

We notice that in each of the four drawings, the lines form a 90-degree angle.

Therefore all are correct as all the lines are perpendicular to each other.

Let's remember that perpendicular lines are vertical lines that create a 90-degree angle with each other.

To examine the types of angles that lines create with each other, let's draw a T at the intersection point of the lines in the following way:

Note that in drawings 1+4 we see right angles, meaning the lines are perpendicular to each other.

In the other drawings, the angles created are greater or smaller than 90 degrees, therefore the lines are not perpendicular.